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Simplifying 5.1(x + -3.6) + 4.5 = 3.1(3.5x + -2.6) Reorder the terms: 5.1(-3.6 + x) + 4.5 = 3.1(3.5x + -2.6) (-3.6 * 5.1 + x * 5.1) + 4.5 = 3.1(3.5x + -2.6) (-18.36 + 5.1x) + 4.5 = 3.1(3.5x + -2.6) Reorder the terms: -18.36 + 4.5 + 5.1x = 3.1(3.5x + -2.6) Combine like terms: -18.36 + 4.5 = -13.86 -13.86 + 5.1x = 3.1(3.5x + -2.6) Reorder the terms: -13.86 + 5.1x = 3.1(-2.6 + 3.5x) -13.86 + 5.1x = (-2.6 * 3.1 + 3.5x * 3.1) -13.86 + 5.1x = (-8.06 + 10.85x) Solving -13.86 + 5.1x = -8.06 + 10.85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.85x' to each side of the equation. -13.86 + 5.1x + -10.85x = -8.06 + 10.85x + -10.85x Combine like terms: 5.1x + -10.85x = -5.75x -13.86 + -5.75x = -8.06 + 10.85x + -10.85x Combine like terms: 10.85x + -10.85x = 0.00 -13.86 + -5.75x = -8.06 + 0.00 -13.86 + -5.75x = -8.06 Add '13.86' to each side of the equation. -13.86 + 13.86 + -5.75x = -8.06 + 13.86 Combine like terms: -13.86 + 13.86 = 0.00 0.00 + -5.75x = -8.06 + 13.86 -5.75x = -8.06 + 13.86 Combine like terms: -8.06 + 13.86 = 5.8 -5.75x = 5.8 Divide each side by '-5.75'. x = -1.008695652 Simplifying x = -1.008695652
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